811855060900 has 243 divisors, whose sum is σ = 1984018386441. Its totient is φ = 288214268160.

The previous prime is 811855060843. The next prime is 811855060997. The reversal of 811855060900 is 9060558118.

The square root of 811855060900 is 901030.

It is a perfect power (a square), and thus also a powerful number.

811855060900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 751019824996 + 60835235904 = 866614^2 + 246648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3396882981 + ... + 3396883219.

Almost surely, 2^811855060900 is an apocalyptic number.

811855060900 is the 901030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811855060900

811855060900 is an abundant number, since it is smaller than the sum of its proper divisors (1172163325541).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811855060900 is a wasteful number, since it uses less digits than its factorization.

811855060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 811855060900 in words is "eight hundred eleven billion, eight hundred fifty-five million, sixty thousand, nine hundred".